Question

URGENT Consider the function f(x)=x3+6x2−20x+450.

What is the remainder if f(x) is divided by (x−12)? Report your answer as a number only. Do not include (x−12) in your answer.

Answer 1

`remainder=2802`

Explanation:

Remainder Theorem: When a polynomial
`f(x)` is divided by
`(x-a)` the remainder will be
`f(a)`

`Here \ \ f(x)=x^3+6x^2-20x+450`

`It\ is\ divided\ by\ (x-12)`

`Then\ remainder =f(12)\\\\remainder=(12)^3+6(12)^2-20*12+450\\\\remainder=1728+6*144-240+450\\\\remainder=1728+864-240+450\\\\remainder=3042-240\\\\remainder=2802`